Question

A train takes I hour 20 minutes to travel between two stations, P and Q. If it travels at `5/6` of its usual speed, how long will it take to travel between P and Q? 

विकल्प

• 1 h 24 min

• 1 h 12 min

• 1 h 48 min

• 1 h 36 min

Answer 1

1 h 36 min

Explanation:

Let the distance be x km.

Time taken = 1 our 20 mm = `1 1/3` hours = `4/3` hours

∴ Speed = `x/(4/3)` km/hr

Now Time taken = `x/(5/6 xx (3x)/4) = x/((5x)/8) = (8x)/(5x) = 8/5 = 1 3/5`

∴ Time taken = 1 hours + `(3/5 xx 60)` min = 1 hour 36 min.